Presentation 2003/3/10
Interconnected Neural Network with Asymmetry Couplings and Its Application to Ranking Problems
Youichi Noda, Masahiro Ishido,
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Abstract(in English) In Hopfield neural network with any symmetry couplings the output states converge on the minimum. However, the output state of the neural network in which the symmetry couplings are replaced by asymmetry couplings, does not converge always for the asymmetry coupling weights. A neural network with asymmetry couplings in which the output state converges, is proposed in this paper. It is possible to construct sixteen neural networks including symmetry and anti-symmetry ones, taking the assumption that the coupling functions of a unit, v_i, and (2-v_i) can be used in energy function and dynamic equation. Each pair of the coupling weights of asymmetry neural network between two units divides into two pairs of symmetry weights and anti-symmetry weights, and two kinds of the neural network are constructed for each pair of the coupling weights. Then they are combined and connected to form the asymmetry neural network. The convergence of the network is shown and the dynamics is examined introducing extended refractoriness. The asymmetry neural network is applied to Ranking Problem in League Tournament.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Asymmetry interconnected neural network / Anti-symmetry interconnected neural network / Symmetry interconnected neural network / Convergence
Paper # NC2002-147
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Conference Information
Committee NC
Conference Date 2003/3/10(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Interconnected Neural Network with Asymmetry Couplings and Its Application to Ranking Problems
Sub Title (in English)
Keyword(1) Asymmetry interconnected neural network
Keyword(2) Anti-symmetry interconnected neural network
Keyword(3) Symmetry interconnected neural network
Keyword(4) Convergence
1st Author's Name Youichi Noda
1st Author's Affiliation Faculty of Engineering, Kobe University()
2nd Author's Name Masahiro Ishido
2nd Author's Affiliation Faculty of Engineering, Kobe University
Date 2003/3/10
Paper # NC2002-147
Volume (vol) vol.102
Number (no) 729
Page pp.pp.-
#Pages 6
Date of Issue